However theorem 1116 pays huge dividends when

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: olar Equations 801 Next, as θ runs from π to π , we see that r increases from 2 to 4. Picking up where we left 2 off, we gradually pull the graph away from the origin until we reach the negative x-axis. y r θ runs from 6 π 2 to π x 4 2 π 2 π 3π 2 2π θ π Over the interval π , 32 , we see that r increases from 4 to 6. On the xy -plane, the curve sweeps out away from the origin as it travels from the negative x-axis to the negative y -axis. y r 6 x 4 2 π 2 π 3π 2 2π θ θ runs from π to 3π 2 π Finally, as θ takes on values from 32 to 2π , r decreases from 6 back to 4. The graph on the xy -plane pulls in from the negative y -axis to finish where we started. y r 6 x 4 2 π 2 π 3π 2 2π θ runs from θ 3π 2 to 2π We leave it to the reader to verify that plotting points corresponding to values of θ outside the interval [0, 2π ] results in retracing portions of the curve, so we are finished. 802 Applications of Trigonometry y r 2 6 −4 4 4 x 2 π π 2 2π 3π 2 −6 θ r = 4 − 2 sin(θ) in the θr...
View Full Document

This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

Ask a homework question - tutors are online